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11262504114 = 23317113108571
BaseRepresentation
bin10100111110100110…
…00010110010110010
31002001220101111012000
422133103002302302
5141031200112424
65101322314430
7546044463651
oct123723026262
932056344160
1011262504114
11485a432044
122223958a16
1310a6427624
1478bac3198
1545db433c9
hex29f4c2cb2

11262504114 has 64 divisors (see below), whose sum is σ = 26734769280. Its totient is φ = 3502033920.

The previous prime is 11262504103. The next prime is 11262504133. The reversal of 11262504114 is 41140526211.

11262504114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49449 + ... + 158019.

It is an arithmetic number, because the mean of its divisors is an integer number (417730770).

Almost surely, 211262504114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11262504114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367384640).

11262504114 is an abundant number, since it is smaller than the sum of its proper divisors (15472265166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11262504114 is a wasteful number, since it uses less digits than its factorization.

11262504114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108712 (or 108706 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11262504114 in words is "eleven billion, two hundred sixty-two million, five hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 113 153 226 306 339 459 678 918 1017 1921 2034 3051 3842 5763 6102 11526 17289 34578 51867 103734 108571 217142 325713 651426 977139 1845707 1954278 2931417 3691414 5537121 5862834 11074242 12268523 16611363 24537046 33222726 36805569 49834089 73611138 99668178 110416707 208564891 220833414 331250121 417129782 625694673 662500242 1251389346 1877084019 3754168038 5631252057 11262504114